Asymptotics of the Hilbert-Smith norm of curve operators in TQFT

Details Asymptotics of the Hilbert-Smith norm of curve operators in TQFT Asymptotics of the Hilbert-Smith norm of curve operators in TQFT

2006-05-11

arxiv.org/abs/math/0605291v1

Mathematics

Quantum Algebra

Scientific paper

Applying standard techniques from Toeplitz operator theory, we analyze the asymptotics of the Hilbert-Smith norms of the TQFT operators coming from isotopy classes of one dimensional oriented submanifolds on a closed oriented surface. We thereby obtain a Toeplitz operator interpretation and generalization of the asymptotic formula obtained recently by Marche and Narimannejad.

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